A General Iterative Algorithm with Strongly Positive Operators for Strict Pseudo-Contractions
This paper deals with a new iterative algorithm {xn} with a strongly positive operator A for a k-strict pseudo-contraction T and a non-self-Lipschitzian mapping S in Hilbert spaces. Under certain appropriate conditions, the sequence {xn} converges strongly to a fixed point of T, which solves some va...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Hindawi Limited
2013-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2013/757986 |
| Summary: | This paper deals with a new iterative algorithm {xn} with a strongly positive operator A for a k-strict pseudo-contraction T and a non-self-Lipschitzian mapping S in Hilbert spaces. Under certain appropriate conditions, the sequence {xn} converges strongly to a fixed point of T, which solves some variational inequality. The results here improve and extend some recent related results. |
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| ISSN: | 1085-3375 1687-0409 |